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Phys. Rev. B 70, 174409 (2004) [14 pages]

Semiclassical dynamics of domain walls in the one-dimensional Ising ferromagnet in a transverse field

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B. A. Ivanov1 and H.-J. Mikeska2
1Institute of Magnetism National Academy of Sciences and Ministry of Education and Science of Ukraine, 36-B Vernadskii Avenue, 03142 Kiev, Ukraine
2Institut für Theoretische Physik, Universität Hannover, Appelstraße 2, 30167 Hannover, Germany

Received 7 April 2004; published 10 November 2004

We investigate analytically and numerically the dynamics of domain walls in a spin chain with ferromagnetic Ising interaction and subject to an external magnetic field perpendicular to the easy magnetization axis (transverse field Ising model). The analytical results obtained within the continuum approximation and numerical simulations performed for the discrete classical model are used to analyze the quantum properties of domain walls using the semiclassical approximation. We show that the domain wall spectrum shows a band structure consisting of 2S nonintersecting zones.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.70.174409
DOI:
10.1103/PhysRevB.70.174409
PACS:
75.10.Jm, 75.40.Cx, 75.40.Gb